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Simplifying (5x + 1) + -1(2x + -6) = 7 Reorder the terms: (1 + 5x) + -1(2x + -6) = 7 Remove parenthesis around (1 + 5x) 1 + 5x + -1(2x + -6) = 7 Reorder the terms: 1 + 5x + -1(-6 + 2x) = 7 1 + 5x + (-6 * -1 + 2x * -1) = 7 1 + 5x + (6 + -2x) = 7 Reorder the terms: 1 + 6 + 5x + -2x = 7 Combine like terms: 1 + 6 = 7 7 + 5x + -2x = 7 Combine like terms: 5x + -2x = 3x 7 + 3x = 7 Add '-7' to each side of the equation. 7 + -7 + 3x = 7 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 7 + -7 3x = 7 + -7 Combine like terms: 7 + -7 = 0 3x = 0 Solving 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '3'. x = 0 Simplifying x = 0
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